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Use the Fourth-Order Runge-Kutta Method with the specified step size to determine the solution to the given initial-value problem at the specified point. In each case, compare your answer to that obtained using Euler's method.The initial-value problem in Problem 1.

$y(0.5)=5.79166693$

Calculus 2 / BC

Chapter 1

First-Order Differential Equations

Section 10

Numerical Solution to First-Order Differential Equations

Differential Equations

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Oregon State University

Lectures

13:37

A differential equation is…

33:32

05:16

Use the Fourth-Order Runge…

05:17

04:05

04:30

07:34

Use the modified Euler met…

06:12

06:29

06:46

02:24

Use the fourth-order Runge…

04:10

21:37

06:44

\diamond Use the Fourth-Or…

02:00

03:43

Use Euler's method wi…

12:02

06:53

02:04

Using the vectorized Runge…

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A differential equation is a mathematical equation for an unknown function o…

Use the Fourth-Order Runge-Kutta Method with the specified step size to dete…

Use the modified Euler method with the specified step size to determine the …

Use the fourth-order Runge-Kutta subroutine with h = 0.25 to approximate the…

\diamond Use the Fourth-Order Runge-Kutta Method with $h=0.5$ to approximate…

Use the fourth-order Runge-Kutta algorithm to approximate the solution to th…

Use Euler's method with the specified step size to determine the soluti…

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